Mathematics 363

Introduction to Statistical Methods

Spring 2018

Course Syllabus

 

Course Homepage

Course Textbook

 

session

date

slides/activity

videos

text pages

check points

worksheet

1

11Jan

Introduction

 

vii-x

2

16Jan

Displaying Data 1

Displaying Data 2

A1part1 part2 part3

A2part1 part2 part3

3-19

A1-4,13 A2-9

Sample R Session & Question Sheet

3

18Jan

Describing Distributions with Numbers 1

Describing Distributions with Numbers 2

B1part1 part2

B2part1 part2

21-32

B1-10

B2-7

Describing Distributions with Numbers

tex

4

23Jan

Correlation and Regression 1

Correlation and Regression 2

C1part1 part2

C2part1 part2 part3

33-40

C1-10

C2-10

Correlation and Regression 1

tex

5

25Jan

Correlation and Regression 3

Correlation and Regression 4

C3part1 part2

C4part1 part2

41-50

C3-7

C4-13

Correlation and Regression 2

tex

6

30Jan

Producing Data 1

Producing Data 2

D1part1 part2

D2part1 part2 part3

63-76

D1-8

D2-11

Producing Data

tex

7

1Feb

Basics of Probability 1

Basics of Probability 2

E1part1 part2 part3

E2part1 part2 part3

79-94

E1-4,13 E2-4

Basics of Probability

tex

8

6Feb

Conditional Probability and Independence 1

Conditional Probability and Independence 2

F1part1 part2 part3

 

F2part1 part2 part3

95-107

F1-5,7

 

F2-10

Conditional Probability and Independence

tex

9

8Feb

Random Variables and Distribution Functions 1

Random Variables and Distribution Functions 2

G1part1 part2 part3

 

G2part1 part2

109-119

G1-4,10

 

G2-6

Random Variables and Distribution Functions 1

tex

10

13Feb

Random Variables and Distribution Functions 3

The Expected Value 1

G3part1 part2 part3

 

H1part1 part2 part3

120-130

 

135-138

G3-6

 

H1-8,13

Random Variables and Distribution Functions 2

 tex

11

15Feb

The Expected Value 2

The Expected Value 3

H2part1 part2 part3

H3part1 part2 part3

139-154

H2-6,8

H3-5

The Expected Value

tex

12

20Feb

Examples of Mass Functions and Densities 1

Examples of Mass Functions and Densities 2

I1part1 part2

 

I2part1 part2 part3

155-175

I1-5

 

I2-14

Examples of Mass Functions and Densities

tex

13

22Feb

Project Proposal

14

27Feb

Exam 1

15

1Mar

Law of Large Numbers 1

Law of Large Numbers 2

J1part1 part2

J2part1 part2

177-189

J1-4,8

Law of Large Numbers

tex

16

13Mar

Central Limit Theorem 1

Central Limit Theorem 2

K1part1 part2 part3

K2part1 part2 part3

191-209

K1-14,16

Central Limit Theorem 1

tex

17

15Mar

Overview of Estimation 1

Overview of Estimation 2

Method of Moments 1

L1part1 part2

L2part1 part2 part3

M1part1 part2

213-216

216-227

229-233

L1-9

L2-12

M1-11

Central Limit Theorem 2

tex

18

20Mar

Method of Moments 2

Unbiased Estimation 1

M2part1 part2

N1part1 part2 part3

234-238

239-243

M2-14

N1-11

Method of Moments 1

tex

19

22Mar

Unbiased Estimation 2

Maximum Likelihood Estimation 1

N2part1 part2 part3

O1part1 part2

243-257

259-260

N2-13

O1-5

Method of Moments 2

tex

20

27Mar

Maximum Likelihood Estimation 2

Maximum Likelihood Estimation 3

Interval Estimation 1

O2part1 part2 part3

O3part1 part2

P1part1 part2 part3

261-262

263-278

279-285

O2-10

O3-9

P1-10

Maximum Likelihood Estimation 1

tex

21

29Mar

Interval Estimation 2

Interval Estimation 3

Simple Hypotheses 1

P2part1 part2

P3part1 part2

Q1part1 part2 part3

286-293

293-298

301-305

P2-7

P3-6,9

Q1-10

Maximum Likelihood Estimation 2

tex

22

3Apr

Simple Hypotheses 2

Simple Hypotheses 3

Composite Hypotheses 1

Q2part1 part2 part3

Q3part1 part2 part3

R1part1 part2 part3

306-313

314-320

321-324

Q2-9

Q3-11

R1-10

Simple Hypotheses

tex

23

5Apr

Project Preparation

 

 

 

 

24

10Apr

Composite Hypotheses 2

Extensions on the Likelihood Ratio 1

R2part1 part2 part3 S1part1 part2 part3

325-337

339-343

R2-6,8

S1-8

Composite Hypotheses

tex

25

12Apr

Extensions on the Likelihood Ratio 2 Extensions on the Likelihood Ratio 3

S2part1 part2 part3

S3part1 part2

343-346

346-358

S2-10,12

S3-8

Extensions on the Likelihood Ratio

tex

26

17Apr

t Procedures 1

t Procedures 2

Project Preliminary Report

T1part1 part2 part3

T2part1 part2 part3

359-362

363-381

T1-11

T2-10

t Procedures

tex

27

19Apr

Exam 2

 

 

 

 

28

24Apr

Goodness of Fit 1

Goodness of Fit 2

Project Presentations

U1part1 part2 part3

U2part1 part2 part3

383-389

390-399

U1-13

U2-9

 

29

26Apr

Analysis of Variance 1

Analysis of Variance 2

V1part1 part2 part3

V2part1 part2

401-406

406-414

V1-7

V2-8

Goodness of Fit/Analysis of Variance

tex

30

1May

Project Presentations

 

 

 

 


 

 

cc